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Finding the Fourth Proportional to 220,893, 331,339.50 and 54,681

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Solution

The fourth proportional to 220,893, 331,339.50 and 54,681 is: 82,021.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,893 : 331,339.50 = 54,681 : x
  2. Step 2: Convert to fraction form
    220,893/331,339.50 = 54,681/x
  3. Step 3: Cross multiply
    220,893x = 331,339.50 × 54,681
  4. Step 4: Simplify right side
    220,893x = 18,117,975,199.50
  5. Step 5: Solve for x
    x = 18,117,975,199.50/220,893
  6. Step 6: Final answer
    x = 82,021.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.